Exam 4: Numerical Descriptive Techniques

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The method used to find the best fitting line through the observations is called the ____________________ method.

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The coefficient of variation is a measure of variability.

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Expressed in percentiles,the interquartile range is the difference between the 25th and 75th percentiles.

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Ages of Retirees ​ A sociologist recently conducted a survey of retirees over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance.The ages of 20 uninsured retirees were as follows: 65,66,67,68,69,70,71,73,74,75,78,79,80,81,86,87,91,92,94,and 97. ​ ​ -{Ages of Retirees Narrative} Calculate the third quartile of the ages of the uninsured retirees.

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Suppose your data set contains ages (in years)and you calculate the range,variance,standard deviation,and coefficient of variation for the data.Explain what units each of these measures is in.

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Salaries of Employees ​ The following data represent the yearly salaries (in thousands of dollars)of a sample of 13 employees of a firm: 26.5,23.5,29.7,24.8,21.1,24.3,20.4,22.7,27.2,23.7,24.1,24.8,and 28.2. ​ ​ -{Salaries of Employees Narrative} Compare the mean salary with the median salary and use them to describe the shape of the distribution.

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Graphical and numerical techniques,such as histograms and least squares lines provide identical information.

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Ages of Workers The ages (in years)of three groups of workers are shown below:  Ages of Workers The ages (in years)of three groups of workers are shown below:   ​ ​ -{Ages of Workers Narrative} Compute and compare the ranges for the three groups. ​ ​ -{Ages of Workers Narrative} Compute and compare the ranges for the three groups.

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Weights of Workers ​ The following data represent the number of employees of a sample of 25 companies: 164,148,137, 157,173,156,177,172,169,165,145,168,163,162,174,152,156,168,154,151,174,146,134, 140,and 171. ​ ​ -{Weights of Workers Narrative} Construct a stem and leaf display for the number of workers.

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The price-earnings ratios of a sample of stocks have a mean value of 13.5 and a standard deviation of 2.If the ratios have a bell shaped distribution,what can we say about the proportion of ratios that fall between a.11.5 and 15.5? b.9.5 and 17.5? c.7.5 and 19.5?

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The number of hours a college student spent studying during the final exam week was recorded as follows: 7,6,4,9,8,5,and 10.Compute The number of hours a college student spent studying during the final exam week was recorded as follows: 7,6,4,9,8,5,and 10.Compute   for the data and the value in an appropriate unit. for the data and the value in an appropriate unit.

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The number of hours a college student spent studying during the final exam week was recorded as follows: 7,6,4,9,8,5,and 10.Compute s2 and s for the data and express the numbers in the appropriate unit.

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If the mean,median,and mode are all equal,the histogram must be symmetric and bell shaped.

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The units for the variance are the same as the units for the original data (for example,feet,inches,etc.).

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The advantage that the coefficient of correlation has over the covariance is that the former has a set lower and upper limit.

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